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Finding the Fourth Proportional to 288,033.06, 432,131.01 and 98,534.46

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Solution

The fourth proportional to 288,033.06, 432,131.01 and 98,534.46 is: 147,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,033.06 : 432,131.01 = 98,534.46 : x
  2. Step 2: Convert to fraction form
    288,033.06/432,131.01 = 98,534.46/x
  3. Step 3: Cross multiply
    288,033.06x = 432,131.01 × 98,534.46
  4. Step 4: Simplify right side
    288,033.06x = 42,579,795,719.60
  5. Step 5: Solve for x
    x = 42,579,795,719.60/288,033.06
  6. Step 6: Final answer
    x = 147,829.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.